Question

If 4x,80-2x,6x+20 are the three angles of a triangle then find the size of each angles?

Answer 1

The size of the angles are 40 degrees, 60 degrees, and 80 degrees.

Step-by-step explanation:

To find the size of each angle in a triangle, we can set up an equation using the fact that the sum of the three angles in a triangle is always 180 degrees.

So, we have:

4x + 80 - 2x + 6x + 20 = 180

Combining like terms, we get:

8x + 100 = 180

Subtracting 100 from both sides, we have:

8x = 80

Dividing both sides by 8, we find:

x = 10

Now, we can substitute this value of x back into each expression to find the size of each angle:

Angle 1 = 4x = 4(10) = 40 degrees

Angle 2 = 80 - 2x = 80 - 2(10) = 60 degrees

Angle 3 = 6x + 20 = 6(10) + 20 = 80 degrees

Therefore, the size of each angle is: 40 degrees, 60 degrees, and 80 degrees.

Learn more about Triangle Angles